1 (**************************************************************************)
4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
10 (* \ / This file is distributed under the terms of the *)
11 (* v GNU General Public License Version 2 *)
13 (**************************************************************************)
15 include "delayed_updating/syntax/path_depth.ma".
16 include "delayed_updating/syntax/path_reverse.ma".
18 (* DEPTH FOR PATH ***********************************************************)
20 (* Constructions with reverse ***********************************************)
22 lemma depth_reverse (p):
25 * [ #n ] #p #IH <reverse_lcons
26 [ <depth_d_sn <depth_d_dx //
27 | <depth_m_sn <depth_m_dx //
28 | <depth_L_sn <depth_L_dx //
29 | <depth_A_sn <depth_A_dx //
30 | <depth_S_sn <depth_S_dx //